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1100100120100 = 2252291891920051
BaseRepresentation
bin10000000000100011000…
…100111010111000100100
310220011112212110101200121
4100000203010322320210
5121011001112320400
62201213511251324
7142323335506612
oct20004304727044
93804485411617
101100100120100
11394605924783
12159259379b44
137c97b761637
143b3608ca6b2
151d93967b21a
hex1002313ae24

1100100120100 has 72 divisors (see below), whose sum is σ = 2469788798400. Its totient is φ = 424822608000.

The previous prime is 1100100120079. The next prime is 1100100120101. The reversal of 1100100120100 is 10210010011.

It is not an unprimeable number, because it can be changed into a prime (1100100120101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54855075 + ... + 54875125.

It is an arithmetic number, because the mean of its divisors is an integer number (34302622200).

Almost surely, 21100100120100 is an apocalyptic number.

1100100120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100100120100 is an abundant number, since it is smaller than the sum of its proper divisors (1369688678300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100100120100 is a wasteful number, since it uses less digits than its factorization.

1100100120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39013 (or 39006 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1100100120100 its reverse (10210010011), we get a palindrome (1110310130111).

The spelling of 1100100120100 in words is "one trillion, one hundred billion, one hundred million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 18919 20051 37838 40102 75676 80204 94595 100255 189190 200510 378380 401020 472975 501275 548651 581479 945950 1002550 1097302 1162958 1891900 2005100 2194604 2325916 2743255 2907395 5486510 5814790 10973020 11629580 13716275 14536975 27432550 29073950 54865100 58147900 379344869 758689738 1517379476 1896724345 3793448690 7586897380 9483621725 11001001201 18967243450 22002002402 37934486900 44004004804 55005006005 110010012010 220020024020 275025030025 550050060050 1100100120100